(b) Let a be a positive constant. Let b be a nonzero constant. A plane curve is given by the following vector function ã¢(t) = (boos(at), bsin(at)), for te 10.2T in ( (i) Find the arc length of the plane curve on the given interval. (ii) Reparametrize the vector function with respect to the arc length mea- sured from the point (b, 0) in the direction of increasing t. (iii) Use the reparametrization in (ii) to find ,ã¢(s).